2036576064 has 140 divisors (see below), whose sum is σ = 5770294784. Its totient is φ = 633894912.

The previous prime is 2036576057. The next prime is 2036576083. The reversal of 2036576064 is 4606756302.

2036576064 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16035969 + ... + 16036095.

Almost surely, 2^2036576064 is an apocalyptic number.

2036576064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2036576064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885147392).

2036576064 is an abundant number, since it is smaller than the sum of its proper divisors (3733718720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2036576064 is an frugal number, since it uses more digits than its factorization.

2036576064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 2036576064 is about 45128.4396362205. The cubic root of 2036576064 is about 1267.5551916648. Note that the first 3 decimals are identical.

The spelling of 2036576064 in words is "two billion, thirty-six million, five hundred seventy-six thousand, sixty-four".